arXiv subjects

Abil Aubakirov

Publications and source records attributed to Abil Aubakirov.

2 recordsLinked to original sources

arXiv2021

A new variational formulation with high order impedance boundary condition for the scattering problem in electromagnetism

In this paper, we propose some variational formulations with the use of high order impedance boundary condition (HOIBC) to solve the scattering problem. We study the existence and uniqueness of the solution. Then, a discretization of these formulations is done. We give validations of the HOIBC obtained with a MoM code that show the improvement in accuracy over the standard impedance boundary condition (SIBC) computations.

math.NA↗

arXiv2021

High Order Impedance Boundary Condition for the Three-dimensional Scattering Problem in Electromagnetism

In this paper, we propose a variational formulation with the use of high order impedance boundary condition (HOIBC) to solve the scattering problem. We study the existence and uniqueness of the solution. Then, a discretization of this formulation is done with Rao-Wilton-Glisson (RWG). We give validations of the HOIBC obtained with a 3D MoM code that show the improvement in accuracy over the standard impedance boundary condition (SIBC) computations.

math.NA↗